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64
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1
"At the mall's food court, Crystal and her friend Amy each want to buy a meal consisting of one entr(...TRUNCATED)
1260
"<|im_start|>user\nAt the mall's food court, Crystal and her friend Amy each want to buy a meal cons(...TRUNCATED)
["We are given a menu with the following options:\n\n| Entrees | Drinks | Desserts (...TRUNCATED)
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0.359375
"Let \\( M \\) be the largest integer whose square has exactly 4 digits when written in base 7.\n\nW(...TRUNCATED)
66_7
"<|im_start|>user\nLet \\( M \\) be the largest integer whose square has exactly 4 digits when writt(...TRUNCATED)
["We are given that $ M $ is the **largest integer** whose **square has exactly 4 digits when writte(...TRUNCATED)
[1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,0.0,1.0,1.0,0.0,1.0,1.0,1.0,1.0,1.0,0.0,1.0,0.0,1.0,1.0,1.0(...TRUNCATED)
0.859375
"A stock investment increased by $30\\%$ in the first year. At this new value, what percentage decre(...TRUNCATED)
30.77\%
"<|im_start|>user\nA stock investment increased by $30\\%$ in the first year. At this new value, wha(...TRUNCATED)
["We are given:\n\n- A stock increases by **30%** in the first year.\n- We want to find the **percen(...TRUNCATED)
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0.53125
"Derek buys hamburgers that come in packages of 10, and he buys hamburger buns that come in packages(...TRUNCATED)
3
"<|im_start|>user\nDerek buys hamburgers that come in packages of 10, and he buys hamburger buns tha(...TRUNCATED)
["We are told:\n\n- Hamburgers come in packages of **10**.\n- Hamburger buns come in packages of **1(...TRUNCATED)
[1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0(...TRUNCATED)
1
"A stock investment went up by 40% in 2006. Starting at this increased value, what percent would it (...TRUNCATED)
28.57\%
"<|im_start|>user\nA stock investment went up by 40% in 2006. Starting at this increased value, what(...TRUNCATED)
["We are told that a stock went up by **40% in 2006**, and we want to find the **percent decrease in(...TRUNCATED)
[1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,0.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0(...TRUNCATED)
0.9375
"There is a committee composed of six women and four men. When they meet, they sit in a row---the wo(...TRUNCATED)
70
"<|im_start|>user\nThere is a committee composed of six women and four men. When they meet, they sit(...TRUNCATED)
["We are given a committee of **6 women** and **4 men**, who sit in a row. The **women sit in indist(...TRUNCATED)
[1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0(...TRUNCATED)
1
"Human explorers discover a solar system with 15 planets, 7 of which are Earth-like, and 8 are Mars-(...TRUNCATED)
1141
"<|im_start|>user\nHuman explorers discover a solar system with 15 planets, 7 of which are Earth-lik(...TRUNCATED)
["We are given:\n\n- 15 planets in total:\n - 7 **Earth-like** planets → each requires **2 units*(...TRUNCATED)
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0.0625
"After discovering a new group of planets, scientists identify 12 habitable planets. Out of these 12(...TRUNCATED)
326
"<|im_start|>user\nAfter discovering a new group of planets, scientists identify 12 habitable planet(...TRUNCATED)
["We are given:\n\n- 12 habitable planets: \n - 6 **Earth-like** planets → each requires **3 uni(...TRUNCATED)
[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,0.0,0.0,1.0,1.0,1.0,0.0,0.0,0.0,1.0,0.0(...TRUNCATED)
0.234375
"Let $a,$ $b,$ and $c$ be constants, and suppose the inequality \\[\\frac{(x-a)(x-b)}{x-c} \\geq 0\\(...TRUNCATED)
48
"<|im_start|>user\nLet $a,$ $b,$ and $c$ be constants, and suppose the inequality \\[\\frac{(x-a)(x-(...TRUNCATED)
["We are given the inequality:\n\n$$\n\\frac{(x-a)(x-b)}{x-c} \\geq 0\n$$\n\nand told that this ineq(...TRUNCATED)
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0.015625
"Given that \\(a\\), \\(b\\), and \\(c\\) are three distinct real numbers, and in the quadratic equa(...TRUNCATED)
6
"<|im_start|>user\nGiven that \\(a\\), \\(b\\), and \\(c\\) are three distinct real numbers, and in (...TRUNCATED)
["We are given three quadratic equations:\n\n1. $ x^2 + ax + b = 0 $\n2. $ x^2 + bx + c = 0 $\n3. $ (...TRUNCATED)
[0.0,1.0,0.0,0.0,1.0,0.0,1.0,0.0,1.0,1.0,0.0,1.0,1.0,0.0,1.0,1.0,1.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0(...TRUNCATED)
0.484375
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